This article is devoted to the problematic issues of the new Constitution of Ukraine drafting at the present stage of social relations development. The analysis of the draft of the Law of Ukraine “On the procedure of the new Constitution of Ukraine drafting” dated January 14, 2016 number 3781, which regulates the process of initiation, development and approval of the draft of the new Constitution of Ukraine. The status of the Constitutional Assembly of Ukraine as a body of constituent power, through which the Ukrainian nation exercises its right to determine and change the constitutional order is determined